The diagonal limits of Hamming spaces
We consider a continuum family of subspaces of the Besicovitch-Hamming space on some alphabet B, naturally parametrized by supernatural numbers. Every subspace is defined as a diagonal limit of finite Hamming spaces on the alphabet B. We present a convenient representation of these subspaces. Using...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152291 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The diagonal limits of Hamming spaces / B. Oliynyk // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 229–236. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862734092813991936 |
|---|---|
| author | Oliynyk, B. |
| author_facet | Oliynyk, B. |
| citation_txt | The diagonal limits of Hamming spaces / B. Oliynyk // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 229–236. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We consider a continuum family of subspaces of the Besicovitch-Hamming space on some alphabet B, naturally parametrized by supernatural numbers. Every subspace is defined as a diagonal limit of finite Hamming spaces on the alphabet B. We present a convenient representation of these subspaces. Using this representation we show that the completion of each of these subspace coincides with the completion of the space of all periodic sequences on the alphabet B. Then we give answers on two questions formulated in [1].
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| first_indexed | 2025-12-07T19:41:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152291 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:41:15Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Oliynyk, B. 2019-06-09T15:32:29Z 2019-06-09T15:32:29Z 2013 The diagonal limits of Hamming spaces / B. Oliynyk // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 229–236. — Бібліогр.: 6 назв. — англ. 1726-3255 2010 MSC:54B35, 54E35, 54E40. https://nasplib.isofts.kiev.ua/handle/123456789/152291 We consider a continuum family of subspaces of the Besicovitch-Hamming space on some alphabet B, naturally parametrized by supernatural numbers. Every subspace is defined as a diagonal limit of finite Hamming spaces on the alphabet B. We present a convenient representation of these subspaces. Using this representation we show that the completion of each of these subspace coincides with the completion of the space of all periodic sequences on the alphabet B. Then we give answers on two questions formulated in [1]. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The diagonal limits of Hamming spaces Article published earlier |
| spellingShingle | The diagonal limits of Hamming spaces Oliynyk, B. |
| title | The diagonal limits of Hamming spaces |
| title_full | The diagonal limits of Hamming spaces |
| title_fullStr | The diagonal limits of Hamming spaces |
| title_full_unstemmed | The diagonal limits of Hamming spaces |
| title_short | The diagonal limits of Hamming spaces |
| title_sort | diagonal limits of hamming spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152291 |
| work_keys_str_mv | AT oliynykb thediagonallimitsofhammingspaces AT oliynykb diagonallimitsofhammingspaces |